What is the derivative of ln(pix) ?

The derivative of ln(pix) is 1/x

What is the first derivative of ln(pix) ?

The first derivative of ln(pix) is 1/x

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\frac{d}{d x} (ln (π x))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (π x))

Apply the chain rule:

\frac{1}{π x} \frac{d}{d x} (π x)

= \frac{1}{π x} \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= \frac{1}{π x} π

Simplify

\frac{1}{π x} π : \frac{1}{x}

= \frac{1}{x}

\int \frac{5}{( x + 1 ) ^{2}} d x

f (t) = t 4 - t^{2}

(y^{2} + 2 x y) d x - x^{2} d y = 0

\frac{d y}{d x} = \frac{3 x ^{2} + 4 x + 2}{2 ( y - 1 )}, y (0) = - 1

y^{^{'}} = sin^{2} (x - y + 1)

What is the derivative of ln(pix) ?
The derivative of ln(pix) is 1/x
What is the first derivative of ln(pix) ?
The first derivative of ln(pix) is 1/x